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What is the Least Common Multiple of 77066 and 77079?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 77066 and 77079 is 5940170214.

LCM(77066,77079) = 5940170214

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Least Common Multiple of 77066 and 77079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77066 and 77079, than apply into the LCM equation.

GCF(77066,77079) = 1
LCM(77066,77079) = ( 77066 × 77079) / 1
LCM(77066,77079) = 5940170214 / 1
LCM(77066,77079) = 5940170214

Least Common Multiple (LCM) of 77066 and 77079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77066 and 77079. First we will calculate the prime factors of 77066 and 77079.

Prime Factorization of 77066

Prime factors of 77066 are 2, 11, 31, 113. Prime factorization of 77066 in exponential form is:

77066 = 21 × 111 × 311 × 1131

Prime Factorization of 77079

Prime factors of 77079 are 3, 25693. Prime factorization of 77079 in exponential form is:

77079 = 31 × 256931

Now multiplying the highest exponent prime factors to calculate the LCM of 77066 and 77079.

LCM(77066,77079) = 21 × 111 × 311 × 1131 × 31 × 256931
LCM(77066,77079) = 5940170214